Solve the following initial value problem: `(dy)/(dx)=1+x^2+y^2+x^2y^2,\ y(0)=1`

Explanation

Glven: `frac{d y}{d x}=1+x^{2}+y^{2}+x^{2} y^{2}`

FInd: Find the particular solution of this differential equation.

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`=frac{d y}{d x}=(1+x^{2})(1+y^{2}) `

`=frac{d y}{1+y^{2}}=(1+x^{2}) d x`

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Integrating both side

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